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It looks like this when I use web2.0calc.com to draw it:

http://i64.tinypic.com/2ihqull.jpg

"Why when I draw the graph for sqrt(x) it appears to have values for x<0?"

You don't show what your graph looks like.  If it looks like the one below then you've plotted the square root of the absolute value of x:

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lcm(32, 36) = 288

revolutions in 24 hours = 128*3600*24

number of times same teeth together =  128*3600*24/288 → 38400

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Thanks Heureka,

However,

  I do not think any of these graphs are 

y=sqrt(x) when x is negative.

Why when I draw the graph for sqrt(x) it appears to have values for x<0?

Why when I draw the graph for sqrt(x) it appears to have values for x<0?

If y=sqrt(x)  and y is in the real number system then x cannot be less then x

That is, you cannot find the squareroot of a negative number

Here is the graph.

what is the perfect square of 18

18 * 18 = 324

The MOON takes 29.53 earth days to complete ONE rotation

10 hours /(29.53 days/rotation x 24 hour/day ) / 10 hours    x  360 degrees/rotation = 5.08 degrees   moontime   Double LOL

Given A(-5,-4) and B(7, 18), find the point two-fifths of the way from A to B.

\(\begin{array}{|rcll|} \hline \vec{A} &=& \binom{-5}{-4} \\ \vec{B} &=& \binom{7}{18} \\ \hline \end{array}\)

\(\begin{array}{|rcll|} \hline \vec{x} &=& \vec{A}+(\vec{B}-\vec{A})\cdot \lambda \qquad & | \qquad 0\le \lambda\le 1 \\ && & | \qquad \lambda = 0 \Rightarrow \vec{x} = \vec{A}\\ && & | \qquad \lambda = 1 \Rightarrow \vec{x} = \vec{B}\\ \vec{x} &=& \vec{A} + \lambda\cdot \vec{B} + \lambda\cdot\vec{A} \\ \vec{x} &=& (1-\lambda)\cdot\vec{A}+ \lambda\cdot \vec{B} \qquad & | \qquad \lambda = \dfrac25 \\\\ \vec{x} &=& (1-\frac25) \cdot\vec{A}+ \frac25 \cdot \vec{B} \\ \vec{x} &=& \frac35 \cdot\vec{A} + \frac25 \cdot \vec{B} \\ \vec{x} &=& 0.6 \cdot\vec{A} + 0.4 \cdot \vec{B} \\ \vec{x} &=& 0.6 \cdot\binom{-5}{-4} + 0.4 \cdot \binom{7}{18} \\ \vec{x} &=& \binom{-3}{-2.4} + \binom{2.8}{7.2} \\ \vec{x} &=& \binom{-3+2.8}{-2.4+7.2} \\\\ \mathbf{\vec{x}} &\mathbf{=}& \mathbf{\dbinom{-0.2}{4.8} }\\ \hline \end{array}\)

The Point is (-0.2, 4.8)

....ANOTHER one... in 10 hours, the hour hand on a clock will have travelled  10/12 x 360 = 300 degrees   

If the point (x,3) is equidistant from (3,-2) and (7,4), find the value of x.

\(\begin{array}{|rcll|} \hline \vec{X} &=& \binom{x}{3} \\ \vec{P_1} &=& \binom{3}{-2} \\ \vec{P_2} &=& \binom{7}{4} \\ \hline \end{array} \)

\(\begin{array}{|rcll|} \hline |\vec{X}-\vec{P_1}| &=& |\vec{P_2}-\vec{X}| \\ |\binom{x}{3}-\binom{3}{-2}| &=& |\binom{7}{4}-\binom{x}{3}| \\ |\binom{x-3}{3-(-2)}| &=& |\binom{7-x}{4-3}| \\ |\binom{x-3}{5}| &=& |\binom{7-x}{1}| \\ (x-3)^2+5^2 &=& (7-x)^2 + 1^2 \\ (x-3)^2+25 &=& (7-x)^2 + 1 \\ x^2 -6x + 9 +25 &=& 49 - 14 x + x^2 + 1 \\ x^2 -6x + 34 &=& 50 - 14 x + x^2 \\ -6x + 34 &=& 50 - 14 x \qquad & | \qquad +14x -34\\ 8x &=& 16 \qquad & | \qquad :8 \\ x &=& 2 \\ \hline \end{array}\)

The equidistant is \(\sqrt{1+25}=\sqrt{26}=5.09901951359\)

Calculate 10hrs into degrees

\(\begin{array}{|rcll|} \hline && \dfrac{360^{\circ}} {24~ h} \cdot 10~ h \\ &=& \left( \dfrac{3600}{24} \right)^{\circ}\\ &=& 150^{\circ} \\ \hline \end{array}\)

First use distributive property to get

2(3x) - 2(7) + 4(3x) + 4(2)  = 6 (5x) + 6(9) + 3      now simplify

6x - 14 + 12x + 8 = 30x + 54 + 3                           Simplify some more

18x - 6 = 30x + 57

-63 = 12x

-63/12 = x

-5.25 =x

Odd question.   10 hours is 600 minutes.   60 minutes is one degree.    ...sooooo 10 hours is 10 degrees     LOL...

1  There are  11 possible rolls   2 - 12      only 4 and 9 are perfect squares    so   2 / 11

2   there are 28 odd cards (if you consider jacks and kings as odd cards)   there are 13 spades (seven of which are already counted as odd cards) so 6 more possibilities       28+6  /  52  = 34/52 = 17/26   

3

p    n      d          total

h    h      h            16

h    h      t               6

t     t       h             10

t     t       t                0

h    t       h             11

t     h      h             15

h    t       t                1 

t     h      t                5                   I THINK there are 8 possibilities    5  total at least 6 cents      5 out of 8    or  5/8

Don't want to tackle #4  #5

Bill's yearly payments on his loan would be =$14,019.55 for 15 years @ 8% compounded annually.

This is the formula you use to calculate this:

PMT=PV. R.{[1 + R]^N/ [1 + R]^N - 1}, Where R=Interest rate per period, N=number of periods, PMT=periodic payment, PV=Present value.

PMT=PV. R.{[1 + R]^N/ [1 + R]^N - 1},

PMT=120,000 x .08{[1.08]^15 / [1.08]^15 - 1}

PMT=9,600 x {1.46037}

PMT=$14,019.55

Hello Damien!

Published the mentioned sketch for us, please!

Greeting asinus :- )

  !

2 + 2 + 2 x 100 x 20 x 300 x 400 x 500

= 240 000 000 004

gleich Zweihundertvierzigmilliardenundvier

If you are talking about Statistics such as this list: Range [11, 23, 45, 67, 23, 78, 17]

=The largest number - The smallest number.

=           78                 -               11

=67 is the "Range" in this list.

The range, in most algebraic questions is all possible values of "y"

For instance:

y = x

If you graph this, it is a straight, diagonal line that goes up infinitely high, as well as down infinitely low. It does not skip any spots, so it has locations at every value of y possible (Does the line exist where y = 2? Yes.  What about where y = 10.4? Yes!)

So that answer would be: Range = All Real Numbers

Parabolas, absolute value equations, and many more will give you different answers. Try checking the graph!

How are you drawing this graph? By hand, graphing calculator, etc.?

The answer is "C", according to Alan's calculations.

Solve for v:
(25 pi)/2 = (9 pi v)/4

(25 pi)/2 = (9 pi v)/4 is equivalent to (9 pi v)/4 = (25 pi)/2:
(9 pi v)/4 = (25 pi)/2

Divide both sides by (9 pi)/4:
Answer: | v = 50/9=5.56 cm/s. The answer is "D"